Base Converter: Convert Between Number Bases
Convert fractional or integer values dynamically between Binary, Octal, Decimal, Hexadecimal, and custom bases up to Base 62. All math processes locally on your device with no server uploads.
Multi-Base Synchronizer
How Does the Base Converter Work?
The **Base Converter** is a real-time numerical conversion engine. When you input a value in any supported field, the tool parses it according to that specific base's valid alphabet (digits 0–9 and letters a–z and A–Z). It translates the input into a base-10 decimal value, and then performs successive divisions or multiplications client-side to dynamically update all other bases in your view.
This tool processes your data locally in your browser, so no inputs need to be sent to our server. All operations run directly within your browser thread using client-side JavaScript, enabling zero network overhead, total privacy, and offline accessibility.
Key Features
- Base 2 to Base 62 Support: Convert across standard systems (Binary, Octal, Decimal, Hex) and custom bases up to 62 using custom character maps.
- Exotic Numeral Bases: Supports complex bases including Negabinary (Base -2), Quater-imaginary (Base 2i), and Twindragon (Base -1+i).
- Fractional & Negative Floating Points: Parses both integer and fractional values (separated by decimal points) as well as negative inputs.
- Division Calculations Step-by-Step: Generates mathematical step-by-step division guides for base conversions under 1,000,000.
How To Use
- 1 Select Input Base: Locate the row of your source number base (e.g. Decimal or Hexadecimal).
- 2 Input Values: Type your source characters. Invalid digits for the active base trigger inline validation alerts.
- 3 Inspect Output: All standard and custom fields update immediately as you type.
- 4 Copy Result: Click the copy icon next to any output field to save the value to your clipboard.
The Four Number Systems: Quick Reference
| Base System | Base | Valid Digits | Decimal 255 = | Common Use |
|---|---|---|---|---|
| Binary | 2 | 0, 1 | 11111111 | CPU operations, data storage, logic gates |
| Octal | 8 | 0–7 | 377 | Unix file permissions (chmod 755), legacy systems |
| Decimal | 10 | 0–9 | 255 | Human-readable numbers, everyday math |
| Hexadecimal | 16 | 0–9, A–F | FF | Web colors (#FF5733), memory addresses, cryptography |
Frequently Asked Questions
Base conversion is the process of expressing the same numeric value using a different counting system. The number 255 in decimal equals FF in hexadecimal, 11111111 in binary, and 377 in octal — all represent the same quantity.
Base 62 uses digits 0-9 (indices 0-9), lowercase a-z (indices 10-35), and uppercase A-Z (indices 36-61). Since it exceeds the 36-character alphanumeric limit, conversions are case-sensitive above base 36.
If you enter a digit that is outside the range of the active base (for example, entering 'F' in binary or 'Z' in base-16), the converter immediately displays an inline error indicating the invalid character and halts calculation for other fields.
No. This tool processes your data locally in your browser, so no inputs need to be sent to our server. All parsing and formatting operations occur in your local web browser session.
Why Choose GetLocalTools?
Maximum Privacy
Every tool runs in your browser. No uploads, no data retention, no tracking. Your data stays on your device, always.
Instant Results
No server round-trips. All base conversions calculate simultaneously in real time using native JavaScript.
Completely Free
No subscription, no trial limits, no credit card. All 145+ tools on GetLocalTools are free indefinitely.
Works Everywhere
Fully responsive across desktop, tablet, and mobile. Works on Chrome, Firefox, Edge, and Safari without plugins.
Privacy Promise
This tool runs entirely inside your browser. Your files never leave your device.